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nata0808 [166]
3 years ago
10

A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,

and a height of (x-2) feet. Find the dimensions of the box.
Mathematics
1 answer:
anygoal [31]3 years ago
3 0
96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
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I really need the help please and thank you
Umnica [9.8K]

Answer:

B.  f^{-1}(x)=\frac{x-4}{5}

Step-by-step explanation:

To find the inverse of a function/equation:

  1. Replace f(x) with y: y=5x+4
  2. Switch x and y: x=5y+4
  3. Solve for y: x-4=5y   ->    y=\frac{x-4}{5}
  4. Write in standard inverse notation: f^{-1}(x)=\frac{x-4}{5}

I hope this helps!!

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3 0
2 years ago
Using flowcharts, programmers can break large systems into subsystems that are easier to understand and code.
Temka [501]

It is True that Using flowcharts, programmers can break large systems into subsystems that are easier to understand and code.

<h3>What is the use of flowcharts?</h3>

A flowchart  serves a picture  consisting the separate steps of a process which is in sequential order and can be used to  break large systems into subsystems during programing.

If a more cohesive module is needed, it can be formed into one unit, having the performance of  multiple functions.

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8 0
2 years ago
The choices are:
Harrizon [31]
Let's take a look at D:   

<span>D)    y = (x-1)^2 - 16     Compare this to 
        y = (x-h)^2 + k       This is the std. equation of a parabola in vertex form.

You can see, by comparison, that h=1 and k= -16; these are the coordinates of the vertex, clearly shown in the diagram.

Since the coefficient of (x-h)^2 is +1, the graph opens upward (which the given graph confirms), and is neither compressed nor stretched vertically.</span>
7 0
3 years ago
220 students went on a field trip. eight buses were filled and 4 students traveled in car. how many students were in each bus?​
Monica [59]

Answer:

27

Step-by-step explanation:

220-4=216

216/8=27

4 0
2 years ago
M is the midpoint of AN, A has coordinates (-6, -6) and M has coordinates (1, 2). Find the coordinates of N.
Cloud [144]
The midpoint, M, of points A and N is (8,10) because;
Point A is (-6,-6) which has a slope of 8/7 (rise/run) with M, (1,2). So, if 8/7 is repeated/ added to M, it will be point N.
1+7=8 (run/x)
2+8=10 (rise/y)
Put x and y together to get (8,10).
N= (8,10).
5 0
2 years ago
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